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Finding the Fourth Proportional to 648.42, 971.28 and 416.67

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Solution

The fourth proportional to 648.42, 971.28 and 416.67 is: 624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.42 : 971.28 = 416.67 : x
  2. Step 2: Convert to fraction form
    648.42/971.28 = 416.67/x
  3. Step 3: Cross multiply
    648.42x = 971.28 × 416.67
  4. Step 4: Simplify right side
    648.42x = 404,703.24
  5. Step 5: Solve for x
    x = 404,703.24/648.42
  6. Step 6: Final answer
    x = 624.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.